Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [. . . ] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [. . . ] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.
Birds sing in vain to the ear, flowers bloom in vain to the eye, of mortified vanity and galled ambition. He who would know repose in retirement must carry into retirement his destiny, integral and serene, as the Caesars transported the statue of Fortune into the chamber they chose for their sleep.